1. http://www.nearingzero.nethttp://www.nearingzero.net (nz276.jpg) note that the Physics 2135 final exam is not listed above as something you can’t prepare for December 18, 2014

2. Adapted from http://www.lab-initio.com/screen_res/nz394.jpg.

3. LEAD Tutors/Peer Instructors Needed! You can tutor or be a PLC peer instructor if you have at least a 3.6 GPA and get an “A” in the course you want to tutor. Contact me or go to http://lead.mst.edu/ to fill out the application form. http://lead.mst.edu/ application form It looks good on your resume, pays well, and is fun!

4. Announcements “It’s always the darkest before it totally goes black.”—Anonymous If anything about your grade needs fixed, fix it now (next week is too late)! See your recitation instructor! (Not me!) Pick up the Final Exam Preparation Homework from the back of the lecture hall (or get it from the Physics 2135 web site).

5. Announcements Final Exam All exams will be given at the announced time in the rooms listed on the next slide. Only those students needing Test Center facilities will take their exam elsewhere. If you don’t get an e-mail from me two days before the final exam about taking your exam at the Test Center, you are not on the list to take it there. If you are taking your exam at the Test Center, check in prior to exam start time. If you arrive 15 minutes late, you will not be allowed in. Final Exam procedures: see this.this The Final Exam and End-Material Tests are designed to give students a fair chance to improve their grades. A high score on either test does not demonstrate that a student deserves an “A” in the course regardless of his/her other exam scores.

6. Know the exam time! Find your room ahead of time! If at 7:30 on test day you are lost, go to 104 Physics and check the exam room schedule, then go to the appropriate room and take the exam there.  Physics 2135 Final Room Assignments, Spring 2015: InstructorSectionsRoom Dr. KurterF, H120 BCH Dr. MadisonE, GG-5 H/SS Dr. ParrisK, M103 Eng. Mgt. Mr. UpshawA, CG-3 Schrenk Mr. UpshawJ, L St. Pat’s C Dr. WaddillB, D103 & 104 Centennial See notes on next slide for information about room locations. Special AccommodationsTesting Center Exam is from 7:30-9:30 am Friday May 15! No one admitted after 7:45 am!

7.  Physics 2135 Final Room Assignments, 7:30 AM, May 15 InstructorSectionsRoom Dr. KurterF, H 120 BCH BCH is Butler-Carlton Civil Engineering Building Dr. MadisonE, GG-5 H/SS H/SS is the Humanities/Social Science Building Dr. ParrisK, M103 Eng. Mgt. Eng. Mgt. Is the Engineering Management Building Mr. UpshawA, CG-3 Schrenk G-3 Schrenk is your ”normal” exam room Mr. UpshawJ, LSt. Pat ’s C St. Pat’s C is St. Pat’s Ballroom C in Havener Center Dr. WaddillB, D103 & 104 Centennial this is two classrooms in Centennial Hall with a sliding partition between them Special AccommodationsTesting Center

8. Announcements PLC If I get an email requesting it, faculty will check PLC occasionally Wednesday afternoon and provide help to any students who show up. There will also not be PLC Wednesday evening unless students request it. E-mail me by noon today if you want a Wednesday evening PLC.

9. End-Material Test Format 8 questions from assigned material in chapters 11-14 (33-36): some questions are conceptual some questions involve simple calculations one “free” question worth 8 points other questions are worth 6 points each (if you can’t figure out the “free” one, maybe you shouldn’t get the points?) You can take as much of the 2 hours on final exam day as you want to work on the end-material test. You already have your 8 free points and must not show up if that is all you want!

10. Final Exam Format 200 points total from the following material: 20 to 40 points from test 1 material 20 to 40 points from test 2 material 20 to 40 points from test 3 material 80 to 100 points from end material. All problems, some ”in-line” multiple choice. The problems may be 40-point problems, 40-point problems with more than one part, or two smaller problems worth 40 points total.

11. Physics 24 Topics Part 1: Coulomb’s Law electric fields electric fields from charge distributions motion of a charged particle in an electric field Gauss’ Law electric potentials and electric potential energy Topic of a test preparation homework problem. Topic of a final lecture problem. Final exam problems may come from topics not covered on test preparation homework or during the final lecture.

12. Physics 24 Topics Part 2: capacitance, dielectrics, energy storage in capacitors, capacitors in series and parallel current density and drift speed Ohm’s law, resistors in series and parallel electric power emf, Kirchoff’s Rules rc circuits, electrical instruments Topic of a test preparation homework problem. Topic of a final lecture problem. Final exam problems may come from topics not covered on test preparation homework or during the final lecture.

13. Physics 24 Topics Part 3: magnetic forces on moving charged particles wires carrying currents solenoids, magnetic fields from current-carrying wires calculation of magnetic field using Biot-Savart Law Faraday’s Law, induction, motional emf electric field produced by changing flux motors, generators, transformers electromagnetic waves Topic of a test preparation homework problem. Topic of a final lecture problem. Final exam problems may come from topics not covered on test preparation homework or during the final lecture.

14. Physics 24 Topics Part 4: Snell’s Law, total internal reflection, fiber optics mirrors lenses interference (double slits, thin films) diffraction Topic of a test preparation homework problem. Topic of a final lecture problem. Final exam problems may come from topics not covered on test preparation homework or during the final lecture.

15. Test Preparation homework focuses on material after exam 3. This lecture focuses on material before exam 3. Be sure to study both if you intend to take the final!

16. Final Exam Review The problems in this lecture are the standard “exam review lecture” problems and are not a guarantee of the exam content, nor are they intended to “tell” you what to study for. Expect final exam questions from material not covered in today’s lecture! Please Look at Prior Tests!

17. Two identical point charges +Q are located on corners of a square of side L, as shown in the diagram. A point charge of +2Q is located at the origin. Find the Coulomb force on the point charge at the origin. x y L L +Q +2Q +Q

18. For the resistor system shown, R 1 = 3 , R 2 = 20 , and R 3 = 30 . (a) Find the equivalent resistance. (b) The power dissipated by R 3 is 480 W. Find V 0. V0V0 R 1 =3 R 3 =30 R 2 =20

19. A proton is accelerated from rest through a potential difference of  V. The proton then enters a uniform magnetic field that is perpendicular to its velocity. In the magnetic field, the proton follows a circular path with a radius R. (a) Determine the speed, v, of the proton when it enters the magnetic field. (b) Determine the magnitude of the magnetic field and the period, T, of the proton’s motion in the magnetic field. (c) Suppose the proton exits the magnetic field region after it has completed a half-circular path. What is the proton’s speed when it exits the magnetic field region?

20. A small generator consists of a flat, square coil of 120 turns and sides of length 1.60 cm. The coil rotates in a magnetic field of 0.75 mT. (a) Derive an expression for the time dependence of the magnetic flux  B through each turn. (b) What is the angular speed of the coil if the maximum emf produced is 24.0 mV? (104/s or 655 rev/s or 39270 rpm) (c) What is the orientation of the coil when the emf is a maximum? (d) What is the orientation of the coil when the magnetic flux through the coil is a maximum?

21. A light beam is incident at an angle  on the top surface of a block of plastic. Find the maximum value of  for which the refracted light is totally reflected from the left face of the plastic block, if the block is immersed in water. (n plastic =1.49, n water =1.33). 63.20  42.2  “I regret to announce — this is The End. I am going now. I bid you all a very fond farewell. Goodbye.”—Bilbo Baggins θ Plastic Air Water